TSTP Solution File: SEU936^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU936^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:52:15 EDT 2024
% Result : Theorem 0.12s 0.35s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 24 ( 4 unt; 10 typ; 0 def)
% Number of atoms : 44 ( 43 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 109 ( 17 ~; 7 |; 12 &; 62 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 0 ^ 31 !; 16 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(type_def_8,type,
c: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_2,type,
c: $tType ).
thf(func_def_6,type,
sK0: a > b ).
thf(func_def_7,type,
sK1: b > c ).
thf(func_def_8,type,
sK2: a ).
thf(func_def_9,type,
sK3: a ).
thf(f18,plain,
$false,
inference(subsumption_resolution,[],[f17,f10]) ).
thf(f10,plain,
sK3 != sK2,
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
( ! [X2: a,X3: a] :
( ( ( sK1 @ ( sK0 @ X3 ) )
!= ( sK1 @ ( sK0 @ X2 ) ) )
| ( X2 = X3 ) )
& ( ( sK0 @ sK2 )
= ( sK0 @ sK3 ) )
& ( sK3 != sK2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f6,f8,f7]) ).
thf(f7,plain,
( ? [X0: a > b,X1: b > c] :
( ! [X2: a,X3: a] :
( ( ( X1 @ ( X0 @ X2 ) )
!= ( X1 @ ( X0 @ X3 ) ) )
| ( X2 = X3 ) )
& ? [X4: a,X5: a] :
( ( ( X0 @ X4 )
= ( X0 @ X5 ) )
& ( X4 != X5 ) ) )
=> ( ! [X3: a,X2: a] :
( ( ( sK1 @ ( sK0 @ X3 ) )
!= ( sK1 @ ( sK0 @ X2 ) ) )
| ( X2 = X3 ) )
& ? [X5: a,X4: a] :
( ( ( sK0 @ X4 )
= ( sK0 @ X5 ) )
& ( X4 != X5 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
( ? [X5: a,X4: a] :
( ( ( sK0 @ X4 )
= ( sK0 @ X5 ) )
& ( X4 != X5 ) )
=> ( ( ( sK0 @ sK2 )
= ( sK0 @ sK3 ) )
& ( sK3 != sK2 ) ) ),
introduced(choice_axiom,[]) ).
thf(f6,plain,
? [X0: a > b,X1: b > c] :
( ! [X2: a,X3: a] :
( ( ( X1 @ ( X0 @ X2 ) )
!= ( X1 @ ( X0 @ X3 ) ) )
| ( X2 = X3 ) )
& ? [X4: a,X5: a] :
( ( ( X0 @ X4 )
= ( X0 @ X5 ) )
& ( X4 != X5 ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,plain,
? [X0: a > b,X1: b > c] :
( ! [X2: a,X3: a] :
( ( ( X1 @ ( X0 @ X2 ) )
!= ( X1 @ ( X0 @ X3 ) ) )
| ( X2 = X3 ) )
& ? [X5: a,X4: a] :
( ( ( X0 @ X4 )
= ( X0 @ X5 ) )
& ( X4 != X5 ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f4,plain,
~ ! [X1: b > c,X0: a > b] :
( ! [X2: a,X3: a] :
( ( ( X1 @ ( X0 @ X2 ) )
= ( X1 @ ( X0 @ X3 ) ) )
=> ( X2 = X3 ) )
=> ! [X4: a,X5: a] :
( ( ( X0 @ X4 )
= ( X0 @ X5 ) )
=> ( X4 = X5 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > b,X1: b > c] :
( ! [X2: a,X3: a] :
( ( ( X1 @ ( X0 @ X2 ) )
= ( X1 @ ( X0 @ X3 ) ) )
=> ( X2 = X3 ) )
=> ! [X3: a,X2: a] :
( ( ( X0 @ X2 )
= ( X0 @ X3 ) )
=> ( X2 = X3 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > b,X1: b > c] :
( ! [X2: a,X3: a] :
( ( ( X1 @ ( X0 @ X2 ) )
= ( X1 @ ( X0 @ X3 ) ) )
=> ( X2 = X3 ) )
=> ! [X3: a,X2: a] :
( ( ( X0 @ X2 )
= ( X0 @ X3 ) )
=> ( X2 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cFN_THM_3_pme) ).
thf(f17,plain,
sK3 = sK2,
inference(equality_resolution,[],[f13]) ).
thf(f13,plain,
! [X0: a] :
( ( ( sK1 @ ( sK0 @ X0 ) )
!= ( sK1 @ ( sK0 @ sK2 ) ) )
| ( sK3 = X0 ) ),
inference(superposition,[],[f12,f11]) ).
thf(f11,plain,
( ( sK0 @ sK2 )
= ( sK0 @ sK3 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f12,plain,
! [X2: a,X3: a] :
( ( ( sK1 @ ( sK0 @ X3 ) )
!= ( sK1 @ ( sK0 @ X2 ) ) )
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU936^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 16:05:53 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a TH0_THM_EQU_NAR problem
% 0.12/0.33 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % (31791)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.12/0.34 % (31788)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.12/0.34 % (31794)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.12/0.34 % (31790)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.12/0.34 % (31793)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.12/0.35 % (31789)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.12/0.35 % (31795)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.12/0.35 % (31792)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.12/0.35 % (31791)Instruction limit reached!
% 0.12/0.35 % (31791)------------------------------
% 0.12/0.35 % (31791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (31791)Termination reason: Unknown
% 0.12/0.35 % (31791)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (31791)Memory used [KB]: 5500
% 0.12/0.35 % (31791)Time elapsed: 0.003 s
% 0.12/0.35 % (31791)Instructions burned: 2 (million)
% 0.12/0.35 % (31791)------------------------------
% 0.12/0.35 % (31791)------------------------------
% 0.12/0.35 % (31788)First to succeed.
% 0.12/0.35 % (31792)Instruction limit reached!
% 0.12/0.35 % (31792)------------------------------
% 0.12/0.35 % (31792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (31793)Also succeeded, but the first one will report.
% 0.12/0.35 % (31792)Termination reason: Unknown
% 0.12/0.35 % (31792)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (31792)Memory used [KB]: 5500
% 0.12/0.35 % (31792)Time elapsed: 0.003 s
% 0.12/0.35 % (31792)Instructions burned: 2 (million)
% 0.12/0.35 % (31792)------------------------------
% 0.12/0.35 % (31792)------------------------------
% 0.12/0.35 % (31789)Also succeeded, but the first one will report.
% 0.12/0.35 % (31788)Refutation found. Thanks to Tanya!
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.35 % (31788)------------------------------
% 0.12/0.35 % (31788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (31788)Termination reason: Refutation
% 0.12/0.35
% 0.12/0.35 % (31788)Memory used [KB]: 5500
% 0.12/0.35 % (31788)Time elapsed: 0.003 s
% 0.12/0.35 % (31788)Instructions burned: 1 (million)
% 0.12/0.35 % (31788)------------------------------
% 0.12/0.35 % (31788)------------------------------
% 0.12/0.35 % (31787)Success in time 0.004 s
% 0.12/0.35 % Vampire---4.8 exiting
%------------------------------------------------------------------------------